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Popular >

extreme f(x)=15x-x^2-54

Solution

extreme points

f (x) = 15 x - x^{2} - 54

Solution

Maximum (\frac{15}{2}, \frac{9}{4})

Solution steps

f^{'} (x) = - 2 x + 15

Find intervals:

Increasing

: - \infty < x < \frac{15}{2},

Decreasing

: \frac{15}{2} < x < \infty

Plug

x = \frac{15}{2}

into

15 x - x^{2} - 54 : \frac{9}{4}

Maximum (\frac{15}{2}, \frac{9}{4})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=15x-x^2-54 ?
The extreme f(x)=15x-x^2-54 is Maximum(15/2 , 9/4)